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Finding the Fourth Proportional to 510.92, 766.48 and 164.23

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Solution

The fourth proportional to 510.92, 766.48 and 164.23 is: 246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.92 : 766.48 = 164.23 : x
  2. Step 2: Convert to fraction form
    510.92/766.48 = 164.23/x
  3. Step 3: Cross multiply
    510.92x = 766.48 × 164.23
  4. Step 4: Simplify right side
    510.92x = 125,876.99
  5. Step 5: Solve for x
    x = 125,876.99/510.92
  6. Step 6: Final answer
    x = 246.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.